Finding the Third Proportional to 91 and 242
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Solution
The third proportional to 91 and 242 is: 643.56
Step by Step Solution
- Step 1: Write the proportion equation
91 : 242 = 242 : x - Step 2: Convert to fraction form
91/242 = 242/x - Step 3: Cross multiply
91x = 242 × 242 - Step 4: Simplify right side
91x = 58,564 - Step 5: Solve for x
x = 58,564/91 - Step 6: Final answer
x = 643.56
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These problems maintain the same ratio (2.66) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.